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2027016 = 233247599
BaseRepresentation
bin111101110111000001000
310210222112200
413232320020
51004331031
6111240200
723141445
oct7567010
93728480
102027016
111164a22
12819060
1355c824
143aa9cc
152a08e6
hex1eee08

2027016 has 48 divisors (see below), whose sum is σ = 5616000. Its totient is φ = 660192.

The previous prime is 2026987. The next prime is 2027021. The reversal of 2027016 is 6107202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2027016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3085 + ... + 3683.

It is an arithmetic number, because the mean of its divisors is an integer number (117000).

22027016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2027016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808000).

2027016 is an abundant number, since it is smaller than the sum of its proper divisors (3588984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2027016 is a wasteful number, since it uses less digits than its factorization.

2027016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2027016 is about 1423.7331210589. The cubic root of 2027016 is about 126.5568700742.

The spelling of 2027016 in words is "two million, twenty-seven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 599 846 1128 1198 1692 1797 2396 3384 3594 4792 5391 7188 10782 14376 21564 28153 43128 56306 84459 112612 168918 225224 253377 337836 506754 675672 1013508 2027016